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3 years ago

I’m confused on this one

Mathematics

1 answer:

sammy [17]3 years ago

5 0

The angles that form similarity are those that are vertically opposite and 2 pairs that are equal because the for a Z formation.

Since <LPM = <ONM then

$\dfrac{LP}{NO}=\dfrac{LM}{MO}\\ \\\dfrac{5x - 10}{4x-9}=\dfrac{16}{12}$ Cross multiply

12*(5x - 10) = 16*(4x - 9) Remove the brackets on both sides.

60x - 120 = 64x - 144 Subtract 60x from both sides.

- 120 = 64x - 60x - 144

-120 = 4x - 144 Add 144 to both sides.

-120 + 144 = 4x

24 = 4x Divide by 4

24/4 = x

x = 6

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Complete the statement of each of these rules:

never [62]

Answer:

a) (+) × (?) = (+)

(?) = (+)

b) (-) × (+) = ?

? = (-)

c) (?) × (-) = ?

? is undefined

Step-by-step explanation:

a) (+) × (?) = (+)

From the given equation in the question, by dividing both side of the equation by (+), we have;

((+) × (?))/(+) = (+)/(+)

(?) = (+)/(+) = (+)

Therefore, we have;

(+) × (+) = (+)

(?) = (+)

b) (-) × (+) = ?

From the given equation in the question we apply the operation rules as follows;

(-) × (-) = (+)

(-) × (+) = (-)

Therefore;

(-) × (+) = ? = (-)

? = (-)

c) (?) × (-) = ?

From the rules of multiplication, we have;

(-) × (-) = (+)

(+) × (-) = (-)

Therefore, when (?) = (-), ? = +, from which we have;

(?) ≠ ?, which is an error

Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign

Therefore, the equation, (?) × (-) = ?, is undefined.

3 0

3 years ago

Help!! Hw :) i have a 78 so I NEED HELP PLS

Nataly_w [17]

Answer:

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Step-by-step explanation:

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3 years ago

4. Joseph is making cookies. The recipe requires 1/2 cups of flour and 1 teaspoons of sugar.

oksian1 [2.3K]

Answer:

He will use 4.

Step-by-step explanation:

1/2 flower-1 sugar*4 = 2 flower - 4 sugar

6 0

2 years ago

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amo

kupik [55]

Answer:

hi so what i would do to find out the small pizza dough is

Step-by-step explanation:

1. find out what 5/2 is=2.5

2.find out what 3/2 is=1.5

3.subtract 2.5-1.5=s

4.s=1

3 0

3 years ago

In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns o

Dafna11 [192]

Answer:

5000 particles of size 10 nanometer should be stacked

Step-by-step explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n = $\frac{50\times10^{-6}}{10\times10^{-9}}$

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked

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3 years ago